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Finding the Fourth Proportional to 64,896.48, 97,345.53 and 22,774.86

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Solution

The fourth proportional to 64,896.48, 97,345.53 and 22,774.86 is: 34,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,896.48 : 97,345.53 = 22,774.86 : x
  2. Step 2: Convert to fraction form
    64,896.48/97,345.53 = 22,774.86/x
  3. Step 3: Cross multiply
    64,896.48x = 97,345.53 × 22,774.86
  4. Step 4: Simplify right side
    64,896.48x = 2,217,030,817.38
  5. Step 5: Solve for x
    x = 2,217,030,817.38/64,896.48
  6. Step 6: Final answer
    x = 34,162.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.